Chiral Random Matrix Theory and Chiral Perturbation Theory

Details Chiral Random Matrix Theory and Chiral Perturbation Theory Chiral Random Matrix Theory and Chiral Perturbation Theory

2011-02-07

arxiv.org/abs/1102.1295v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Lectures given as mini-course at the XIV Mexican School on Particles and Fields 2010

Scientific paper

Spontaneous breaking of chiral symmetry in QCD has traditionally been inferred indirectly through low-energy theorems and comparison with experiments. Thanks to the understanding of an unexpected connection between chiral Random Matrix Theory and chiral Perturbation Theory, the spontaneous breaking of chiral symmetry in QCD can now be shown unequivocally from first principles and lattice simulations. In these lectures I give an introduction to the subject, starting with an elementary discussion of spontaneous breaking of global symmetries.

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